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Player rating for tournaments across all installments of Heroes.
The oscillator will work even on Mars, and it does take location into account... But the first term will always be zero for everyone because everyone fights everyone else... In pairs. The winner is the one with the most victories over opponents. Then everyone is ranked in a table, and the calculation is made according to the position... :smile51:
Why is an oscillator needed if the first term will always be zero? Why divide the second component by 2? I'm not against calculating the arena purely using a linear formula. But the non-linear component introduces distortions when playing for speed in tournaments, so Carthage must be destroyed :)